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Finding the Fourth Proportional to 138,826.32, 208,239.47 and 33,645.29

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Solution

The fourth proportional to 138,826.32, 208,239.47 and 33,645.29 is: 50,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,826.32 : 208,239.47 = 33,645.29 : x
  2. Step 2: Convert to fraction form
    138,826.32/208,239.47 = 33,645.29/x
  3. Step 3: Cross multiply
    138,826.32x = 208,239.47 × 33,645.29
  4. Step 4: Simplify right side
    138,826.32x = 7,006,276,316.40
  5. Step 5: Solve for x
    x = 7,006,276,316.40/138,826.32
  6. Step 6: Final answer
    x = 50,467.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.